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Simplifying 3p2 + -5p = 68 Reorder the terms: -5p + 3p2 = 68 Solving -5p + 3p2 = 68 Solving for variable 'p'. Reorder the terms: -68 + -5p + 3p2 = 68 + -68 Combine like terms: 68 + -68 = 0 -68 + -5p + 3p2 = 0 Factor a trinomial. (-4 + -1p)(17 + -3p) = 0Subproblem 1
Set the factor '(-4 + -1p)' equal to zero and attempt to solve: Simplifying -4 + -1p = 0 Solving -4 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1p = 0 + 4 -1p = 0 + 4 Combine like terms: 0 + 4 = 4 -1p = 4 Divide each side by '-1'. p = -4 Simplifying p = -4Subproblem 2
Set the factor '(17 + -3p)' equal to zero and attempt to solve: Simplifying 17 + -3p = 0 Solving 17 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3p = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -3p = 0 + -17 -3p = 0 + -17 Combine like terms: 0 + -17 = -17 -3p = -17 Divide each side by '-3'. p = 5.666666667 Simplifying p = 5.666666667Solution
p = {-4, 5.666666667}
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